Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

268×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	6
11	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.0b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

21.0ms	(* (+ t1 u) (+ t1 u))
9.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (+ t1 u) (+ t1 u))
68.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	381	490
1	2039	406
2	5001	402

prune125.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.3b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

7.0ms	(/ (- t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
43.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (- t1) (+ t1 u))
24.0ms	(/ v (+ t1 u))
123.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify65.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	593	1285
1	2700	1201
2	5002	1197

prune363.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.8b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.7b	(* (- t1) (/ v (+ t1 u)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 107

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
10.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
17.0ms	(* (- t1) (/ v (+ t1 u)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ v (+ t1 u))
71.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
51.0ms	(* (- t1) (/ v (+ t1 u)))

simplify48.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	385	649
1	2067	570
2	5001	570

prune211.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt v)
0.6b	(cbrt v)
0.6b	(* (cbrt v) (cbrt v))
1.3b	(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
52×	`associate-l`
47×	`add-exp-log`
45×	`add-sqr-sqrt`
40×	`times-frac`
37×	`add-cube-cbrt`
33×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
22×	`cbrt-prod`
20×	`pow1`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`distribute-lft-out`
9×	`cbrt-undiv` `div-exp`
8×	`pow1/3` `pow-prod-down`
7×	`associate-r`
6×	`swap-sqr`
4×	`neg-mul-1` `add-log-exp` `unswap-sqr`
3×	`associate-*r/`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`distribute-lft-neg-out` `pow2` `frac-times` `flip3-+` `pow-plus` `distribute-frac-neg` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 144

Calls

4 calls:

0.0ms	(cbrt v)
2.0ms	(cbrt v)
5.0ms	(* (cbrt v) (cbrt v))
66.0ms	(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

series685.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt v)
176.0ms	(cbrt v)
197.0ms	(* (cbrt v) (cbrt v))
136.0ms	(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

simplify97.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	579	1381
1	3022	994
2	5002	927

prune321.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	21	6

end0.0ms

sample385.0ms

Algorithm

intervals

Results

219.0ms

8258×

body

valid